弱耗散耦合系统强全局吸引子的存在性  

Existence of strong global attractors for a weakly dissipative coupled system

作　　者：王素萍[1] 马巧珍[1] 

机构地区：[1]西北师范大学数学与信息科学学院

出　　处：《西北师范大学学报（自然科学版）》2008年第5期7-12,共6页Journal of Northwest Normal University(Natural Science)

基　　金：甘肃省自然科学基金资助项目(3ZS061-A25-016);西北师范大学科技创新工程资助项目(NWNU-KJZGC-03-04)

摘　　要：利用半群方法,证明了由两个双曲型方程耦合组成的Timoshenko梁系统在强拓扑空间中紧吸引子的存在性.A Timoshenko model of a viscoelastic beam which consists of two coupled second order hyperbolic equations is considered.The existence of a bounded absorbing set of the strong solutions is showed.Furthermore,the existence of strong global attractors is obtained by using a new semigroup approach.

关 键 词：TIMOSHENKO梁 吸收集 全局吸引子 

分 类 号：O175.29[理学—数学]